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Finding the Third Proportional to 3,165,424.31 and 6,442,717.22

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Solution

The third proportional to 3,165,424.31 and 6,442,717.22 is: 13,113,125.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165,424.31 : 6,442,717.22 = 6,442,717.22 : x
  2. Step 2: Convert to fraction form
    3,165,424.31/6,442,717.22 = 6,442,717.22/x
  3. Step 3: Cross multiply
    3,165,424.31x = 6,442,717.22 × 6,442,717.22
  4. Step 4: Simplify right side
    3,165,424.31x = 41,508,605,160,777.73
  5. Step 5: Solve for x
    x = 41,508,605,160,777.73/3,165,424.31
  6. Step 6: Final answer
    x = 13,113,125.15

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.